1. A conceptual smartphone design uses a parachute technique to avoid severe damage to the screen and phone-case. Each of four nozzles located on the case might be either functional or defective after a year. (a) State the sample space in terms of the condition (functional or defective) of each nozzle after a year. Let "F" denote a functional nozzle after a year and "D" denote a defective one. Hint: You may use a tree diagram in answering this question (4 points) (b) How many outcomes are in the event defined by two defective nozzles? (2 points)